1. NUCLEAR REACTION MODELS FOR SYSTEMATIC ANALYSIS OF FAST NEUTRON INDUCED (n,p) REACTION CROSS SECTIONS M.Odsuren, J.Badamsambuu, G.Khuukhenkhuu Nuclear Research Center, National University of Mongolia, Ulaanbaatar, Mongolia

2. MOTIVATION Investigation of fast neutron induced charged particle emission reactions is important: 1. Fundamental nuclear physics study: –The study of nuclear reactions mechanisms –Nuclear structure 2. Fission and fusion reactors technology: –Radiation damage –Residual radioactivity –Hydrogen and helium gas production Systematical analysis of neutron cross sections is of interest: 1. To evaluate of neutron cross sections 2. To estimate of authenticity for experimental data

3. Statistical Model: J.M.Blatt, V.F.Weisskopf, Theoretical Nuclear Physics, John Wiley and Sons, New York, (1952) Compound Mechanism : N.Bohr, Nature, v.137 (1936), p.344 Pre-equilibrium Mechanism : J.Griffin, Phys.Rev.Lett. vol.17, 1966, p.478 Exciton Model Direct Reaction Mechanism : J.R.Oppenheimer, M.Philips. Phys.Rev., v.48, Plane Wave Born Approximation N6, 1935, p.500 V.N. Levkovsky, Sov.J.Nucl.Phys. 18, N4, 1973, p.705 Empirical formula  (n,p) and  (n,  ) at E n =14-15 MeV Here: C=0.73 and, K=33 are fitting parameters. G.Khuukhenkhuu, JINR preprint. E3-93-205, Dubna, 1993

4. Here: R, Z, N and A - radius, proton, neutron and mass numbers of target nuclei - Wavelength of incident neutrons divided by 2  V p - Coulomb potential for protons  - Thermodynamic temperature of nuclei  and  =  i -  f - Сonstants of Weizsacker’s formula. G.Khuukhenkhuu, G.Unenbat, M.Odsuren et al. JINR Preprint, E3-2007-25,Dubna, 2007, -12p. (1) –Statistical Model:

5. –Exciton Model : Where can be determined as best fitting the experimental data parameter. Theoretical total (n,p) cross section: (2) (3) G.Khuukhenkhuu, G.Unenbat, M.Odsuren et al. JINR Preprint, E3-2007-26, Dubna, 2007, -5p. Where: -Neutron induced reaction total cross section - Mass of proton and - Kinetic and binding energy of neutron - Reaction energy G.Khuukhenkhuu, G.Unenbat, M.Odsuren et al. JINR Preprint, E3-2007-27, Dubna, 2007, -7p –Plane Wave Born Approximation:

6. SYSTEMATICS OF THE (n,p) REACTION CROSS SECTIONS E n (MeV)KC 675.217.5 862.811.9 1052.16.80 1338.82.74 14.537.32.43 1633.51.42 1822.40.39 2017.90.25

7. Statistical model (n,p) cross sections and experimental data: COMPARISON OF EXPERIMENTAL AND THEORETICAL (n,p) CROSS SECTIONS

8. Exciton model (n,p) cross sections and experimental data:

9. PWBA (n,p) cross sections and experimental data:

10. The total (n,p) cross section The theoretical total (n,p) cross sections are satisfactorily in agreement with experimental values for E n =6, 14.5 and 20 MeV. Also, in the case of E n =8, 10, 13, 16 and 18 MeV neutrons we have almost the same results. A ZN K com np eRC 1 2 )(     

11. CONCLUSION 1.Using the statistical model, exciton model and PWBA are deduced formulae for the fast neutron induced (n,p) reaction cross sections. 2.The formulae were used for systematical analysis of fast neutron induced (n,p) reaction cross sections. 3.It was shown that the theoretical and experimental total (n,p) cross sections for E n =6-20 MeV are satisfactorily in agreement.

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